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Finding the Fourth Proportional to 3,746.28, 5,167.46 and 2,274.28

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Solution

The fourth proportional to 3,746.28, 5,167.46 and 2,274.28 is: 3,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.28 : 5,167.46 = 2,274.28 : x
  2. Step 2: Convert to fraction form
    3,746.28/5,167.46 = 2,274.28/x
  3. Step 3: Cross multiply
    3,746.28x = 5,167.46 × 2,274.28
  4. Step 4: Simplify right side
    3,746.28x = 11,752,250.93
  5. Step 5: Solve for x
    x = 11,752,250.93/3,746.28
  6. Step 6: Final answer
    x = 3,137.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.